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Seminar on Micro-Local Analysis. (AM-93), Volume 93

Victor Guillemin, Takahiro Kawai, Masaki Kashiwara, et al.

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Princeton University Press img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Mathematik

Beschreibung

Based on a seminar sponsored by the Institute for Advanced Study in 1977-1978, this set of papers introduces micro-local analysis concisely and clearly to mathematicians with an analytical background. The papers treat the theory of microfunctions and applications such as boundary values of elliptic partial differential equations, propagation of singularities in the vicinity of degenerate characteristics, holonomic systems, Feynman integrals from the hyperfunction point of view, and harmonic analysis on Lie groups.

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Schlagwörter

Equation, Analytic manifold, Neighbourhood (mathematics), Subset, Proper map, Maximal ideal, Compact space, Asymptotic analysis, Lie group, Cartan subgroup, Submanifold, Ordinary differential equation, Boundary value problem, Dimension, Masaki Kashiwara, Homogeneous space, Bounded operator, Generic point, Convex hull, Sigurdur Helgason (mathematician), Contact geometry, Cohomology, Linear differential equation, Symmetric space, Regularity theorem, D-module, Killing form, Identity element, Vector bundle, Orthogonal complement, Summation, Lagrangian (field theory), Hyperfunction, Bernhard Riemann, Degenerate bilinear form, Existence theorem, Differential operator, Fourier integral operator, Path integral formulation, Continuous linear operator, Cotangent bundle, Monodromy, Elliptic partial differential equation, Class function (algebra), Dimension (vector space), Group theory, Lie algebra, Symplectic geometry, Topological space, Weyl group, Continuous function, Addition, Partial differential equation, Diagonal matrix, Tangent cone, Characterization (mathematics), Analytic function, Differentiable manifold, Holomorphic function, Irreducible representation, Pseudo-differential operator, Natural number, Codimension, Theorem, Harmonic analysis, Holonomic, Victor Guillemin, Comparison theorem, Hypersurface, Closed-form expression